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The 'best' conditions for doing this is when you have two angles... add them together and the difference between their total and 180 degrees is the magnitude of the remaining angle.

Otherwise, if you have one angle and the lengths of two sides you can use the sine rule.

This states that the length of each side, divided by the sine of the angle opposite it, is equal to the length of any other side, divided by the sine of the angle opposite it - or.....

a/sin A = b/sin B = c/sin C

Or, if you don't have a matching angle and side, you can use the cosine rule.

This says that

a2 = b2 + c2 - 2bc cosA

Now you have an angle and the side opposite it, and you can use the sine rule above.

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Q: How do you work out missing angles in a triangle?
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